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Finding the Fourth Proportional to 21,814.40, 32,713.32 and 9,326.60

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Solution

The fourth proportional to 21,814.40, 32,713.32 and 9,326.60 is: 13,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.40 : 32,713.32 = 9,326.60 : x
  2. Step 2: Convert to fraction form
    21,814.40/32,713.32 = 9,326.60/x
  3. Step 3: Cross multiply
    21,814.40x = 32,713.32 × 9,326.60
  4. Step 4: Simplify right side
    21,814.40x = 305,104,050.31
  5. Step 5: Solve for x
    x = 305,104,050.31/21,814.40
  6. Step 6: Final answer
    x = 13,986.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.